Sentence examples for valid bound from inspiring English sources

For a large number of distance estimates, Bound 3 can be a loose bound, while for very few samples, Bound 3 may not be a valid bound all the time.

However, for (26) to be a valid bound in terms of the test statistic, we need to introduce an extra constraint.

Note that the heuristic approximation of R u is still a valid upper bound, but that of any lower bound may not be a valid lower bound.

First, the best feasible solution in TS can become a valid upper bound for QG.

The subproblems are first approximated by an adaptive piece-wise linearization scheme that provides lower bounds, and the MILP is further relaxed to an LP to improve solution efficiency while providing a valid lower bound.

We show by a counterexample that the dual-ascent procedure proposed by Herrmann, Ioannou, Minis and Proth in a 1996 issue of the European Journal of Operational Research is incorrect in the sense that it does not generate a valid lower bound to the optimal value of fixed-charge capacitated network design problems.

Then the procedure (R a) must produce a valid lower bound.

Bafna and Bansal [ 11] has proved that R I is a valid lower bound of R min given a particular order of the sequences.

While the minimum is a valid lower bound of the causal effect, it represents a biased estimate that can lead to missed causal discoveries.

The algorithm (Algorithm A.3) and a proof (as a valid lower bound) for R a with a particular order of sequences are given in Appendices A and B, respectively.

Even if there is apparently no effect of dose, a BMDL calculated from such negative data still represents a valid lower bound on the dose corresponding to any (undetected) effect of perchlorate that may have been present.